In the United States, the First Amendment protects freedom of speech and expression. While one is allowed to walk down a street without fear of harm, it does polarise to allow such acts as burning a holy book, like a Qur'an, which sparked violent protests in the Middle East.
The BBC points out that in the United States, "a published statement about a public figure is assumed to be true and complainant must prove it's false", while the reverse is true in Britain with the defendant must prove it to be true.
For a super-injunction to be ordered, one key element is the balance of the equities: "testing the harm of publishing against the rights of the publisher". The First Amendment alone makes this very difficult to clear.
While super-injunction society is infringing ordinary freedom of speech, it does align social media sites like Twitter and Facebook with other traditional news outlets.